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author | sijanec <anton@sijanec.eu> | 2021-04-17 21:14:22 +0200 |
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committer | sijanec <anton@sijanec.eu> | 2021-04-17 21:14:22 +0200 |
commit | 632a2df639479b919c13648bd8f13a186478810d (patch) | |
tree | 6d76d586a002a84b942d7a9c22f011e4485531bf /mat/domace_naloge/31 | |
parent | la artikolo ~ (diff) | |
download | sola-gimb-2-632a2df639479b919c13648bd8f13a186478810d.tar sola-gimb-2-632a2df639479b919c13648bd8f13a186478810d.tar.gz sola-gimb-2-632a2df639479b919c13648bd8f13a186478810d.tar.bz2 sola-gimb-2-632a2df639479b919c13648bd8f13a186478810d.tar.lz sola-gimb-2-632a2df639479b919c13648bd8f13a186478810d.tar.xz sola-gimb-2-632a2df639479b919c13648bd8f13a186478810d.tar.zst sola-gimb-2-632a2df639479b919c13648bd8f13a186478810d.zip |
Diffstat (limited to 'mat/domace_naloge/31')
-rw-r--r-- | mat/domace_naloge/31/dokument.aux | 35 | ||||
-rw-r--r-- | mat/domace_naloge/31/dokument.log | 1852 | ||||
-rw-r--r-- | mat/domace_naloge/31/dokument.out | 1 | ||||
-rw-r--r-- | mat/domace_naloge/31/dokument.pdf | bin | 0 -> 73728 bytes | |||
-rw-r--r-- | mat/domace_naloge/31/dokument.synctex.gz | bin | 0 -> 27563 bytes | |||
-rw-r--r-- | mat/domace_naloge/31/dokument.tex | 238 | ||||
-rw-r--r-- | mat/domace_naloge/31/stderr.log | 1 | ||||
-rw-r--r-- | mat/domace_naloge/31/stdout.log | 808 |
8 files changed, 2935 insertions, 0 deletions
diff --git a/mat/domace_naloge/31/dokument.aux b/mat/domace_naloge/31/dokument.aux new file mode 100644 index 0000000..315b3ec --- /dev/null +++ b/mat/domace_naloge/31/dokument.aux @@ -0,0 +1,35 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} +\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined +\global\let\oldcontentsline\contentsline +\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global\let\oldnewlabel\newlabel +\gdef\newlabel#1#2{\newlabelxx{#1}#2} +\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} +\AtEndDocument{\ifx\hyper@anchor\@undefined +\let\contentsline\oldcontentsline +\let\newlabel\oldnewlabel +\fi} +\fi} +\global\let\hyper@last\relax +\gdef\HyperFirstAtBeginDocument#1{#1} +\providecommand\HyField@AuxAddToFields[1]{} +\providecommand\HyField@AuxAddToCoFields[2]{} +\providecommand\babel@aux[2]{} +\@nameuse{bbl@beforestart} +\catcode `"\active +\providecommand \exsheets@question@property [3]{} +\providecommand \exsheets@save@number [2]{} +\providecommand \exsheets@sum@of@points [1]{} +\providecommand \exsheets@sum@of@bonus [1]{} +\providecommand \exsheets@used@id [2]{} + +\babel@aux{slovene}{} +\babel@aux{slovene}{} +\@writefile{toc}{\contentsline {paragraph}{Navodilo naloge}{1}{section*.1}\protected@file@percent } +\exsheets@sum@of@points {0} +\exsheets@sum@of@bonus {0} +\gdef \numberofquestions {0} +\@writefile{toc}{\contentsline {section}{\numberline {1}Zaključek}{3}{section.1}\protected@file@percent } +\gdef \@abspage@last{3} diff --git a/mat/domace_naloge/31/dokument.log b/mat/domace_naloge/31/dokument.log new file mode 100644 index 0000000..060b9d0 --- /dev/null +++ b/mat/domace_naloge/31/dokument.log @@ -0,0 +1,1852 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020) (preloaded format=pdflatex 2021.3.23) 17 APR 2021 21:13 +entering extended mode + \write18 enabled. + %&-line parsing enabled. 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+\usepackage[inline]{enumitem} +\usepackage{siunitx} +\usepackage{multicol} +\usepackage{tabularcalc} +\usepackage{amsmath} +\usepackage{float} +\usepackage{tasks} +\usepackage{filecontents} +\usepackage{textcomp} +\usepackage{tkz-euclide} +\usepackage{dirtytalk} +\usepackage{csquotes} +\usepackage{listings} +\usepackage{datetime} % [ddMMyyyy] +\usepackage{ccicons} +\usepackage{chemformula} +\usepackage{gensymb} +\usepackage[normalem]{ulem} +\usepackage[slovene]{babel} +\usepackage{cancel} +\usepackage{tabularx} +\usepackage{xcolor} +\usepackage{colortbl} +\usepackage{exsheets} +\usepackage{harpoon} +\usepackage{readarray} +\usepackage{forloop} +\usepackage[nomessages]{fp} +\usepackage{multirow} +\newcolumntype{Y}{>{\centering\arraybackslash}X} +% \usepackage{multienum} % weird with labels +\usetikzlibrary{calc} %% not really needed............. idk. +%\usetikzlibrary{external} +% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (: +%\tikzexternalize +\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol +\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}} +\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development +\newcommand{\razhroscevanje}{1} +\definecolor{codegreen}{rgb}{0,0.6,0} +\definecolor{codered}{rgb}{1,0,0} +\definecolor{codegray}{rgb}{0.5,0.5,0.5} +\definecolor{codepurple}{rgb}{0.58,0,0.82} +\definecolor{backcolour}{rgb}{0.95,0.95,0.92} +\renewcommand{\dateseparator}{. } +\settimeformat{hhmmsstime} +\lstdefinestyle{mystyle}{ + backgroundcolor=\color{backcolour}, + commentstyle=\color{codegreen}, + keywordstyle=\color{magenta}, + numberstyle=\tiny\color{codegray}, + stringstyle=\color{codepurple}, + basicstyle=\ttfamily\footnotesize, + breakatwhitespace=false, + breaklines=true, + captionpos=b, + keepspaces=true, + numbers=left, + numbersep=5pt, + showspaces=false, + showstringspaces=false, + showtabs=false, + tabsize=2 +} +\lstset{style=mystyle} +\def\@maketitle{% + \newpage + \null + \vskip 2em% + \begin{center}% + \let \footnote \thanks + {\LARGE \@title \par}% + \vskip 1.5em% + {\large + \lineskip .5em% + \begin{tabular}[t]{c}% <------ + \@author% <------ Authors + \end{tabular}\par}% <------ + \vskip 1em% + {\large \@date}% + \end{center}% + \par + \vskip 1.5em} +%opening +\newcommand{\snovdn}{Transformacije na ravnini } +\newcommand{\predmdn}{mat} +\newcommand{\predmkaj}{domace\_naloge} +\newcommand{\stevilkadn}{31} +\newcommand{\cm}[1]{\SI{#1}{\centi\meter}} +\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}} +\makeatletter +\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname} +\newcommand{\@xslalph}[1]{% + \ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i% + \or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}% + \or t\or u\or v\or z\or \v{z} + \else\@ctrerr\fi% +} +\AddEnumerateCounter{\xslalph}{\@xslalph}{m} +\makeatother +\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma +\newcommand*\textfrac[2]{ + \frac{\text{#1}}{\text{#2}} +} +\NewTasks[counter-format=\xslalph*),label-format=\bfseries]{primerTasks}(3) +\newcommand\vektor{\overrightarrow} +\newcommand{\iic}{I\textsuperscript{2}C } +\title{% + \snovdn --- \stevilkadn. domača naloga + \\ + \large Matematika, Gimnazija Bežigrad} +\author{\begin{tabular}{rl} + \textbf{Profesor:} & prof. Vilko Domajnko \\ + \textbf{Avtor:} & Anton Luka Šijanec, 2. a +% \textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3 +\end{tabular}} +\newcommand\hcancel[2][black]{\setbox0=\hbox{$0#2$}% +\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2} +\everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260 +\begin{document} +\maketitle +\begin{abstract} +Ta dokument vsebuje navodila in rešitve domače naloge snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam. +\end{abstract} +\paragraph{Navodilo naloge} \textbf{Mat3} (Mat2 verjetno): 114 / 1, 2, 3 +%\tableofcontents +\begin{enumerate}[label=\textbf{\arabic*.}] + \item Prezrcali graf funkcije $f\left(x\right)=-\frac{1}{2}x+2$ + \begin{tasks}[label=\textbf{\xslalph*)}](2) + \task čez abscisno os, + \task čez ordinatno os, + \task čez koordinatno izhodišče, + \task čez simetralo lihih kvadrantov + \end{tasks} + \begin{tikzpicture} + \begin{axis}[grid = both, grid style={line width=.1pt, draw=gray!10}, minor tick num = 1, xstep = 1, ystep = 1, xtick={-6,...,6}, ytick={-6,...,6}, ymin=-6, domain=-6:6, major grid style={line width=.2pt,draw=gray!50},scale only axis, x = 10mm, y = 10mm, ymax=6, samples=\functionSamples, axis lines = middle, xlabel = $x$, ylabel = {$y$}, xmin=-6, xmax=6, legend style={at={(1,1)},anchor=north west}] + \addplot[black, solid] (x, {(-1/2)*x+2}) node[above,pos=.6] {$f$}; + \addplot[black, densely dotted] (x, {-1*((-1/2)*x+2)}) node[above,pos=.6] {$a$}; + \addplot[black, densely dashed] (x, {(1/2)*x+2}) node[above,pos=.6] {$b$}; + \addplot[red, solid] (x, {(-1/2)*x-2}) node[above,pos=.6] {$c$}; + \addplot[red, densely dotted] (x, {(-2)*x+4}) node[above,pos=.6] {$č$}; + \addlegendentry{\raisebox{7pt}{$f(x) = -\frac{1}{2}x+2$}} + \addlegendentry{$a(x) = f\left(x\right)\cdot-1$} + \addlegendentry{\raisebox{7pt}{$b(x) = \frac{1}{2}x+2$}} + \addlegendentry{\raisebox{7pt}{$c(x) = -\frac{1}{2}x-2$}} + \addlegendentry{\raisebox{7pt}{$č(x) = -2x+4$}} + \end{axis} + \end{tikzpicture} + \newpage + \item Nariši grafa funkcij. + \begin{tasks}[label=\textbf{\xslalph*)}](2) + \task $f\left(x\right)=-\frac{1}{2}x+1$ in $g\left(x\right)=-2f\left(x\right)$ + \task \color{red} $f\left(x\right)=-2x+1$ in $g\left(x\right)=f\left(3x\right)$ \color{black} + \task \color{green} $f\left(x\right)=\frac{1}{2}x-1$ in $g\left(x\right)=f\left(\frac{1}{2}x\right)$ \color{black} + \task \color{blue} $f\left(x\right)=-\frac{1}{2}x-3$ in $g\left(x\right)=\frac{1}{2}f\left(x\right)$ \color{black} + \end{tasks} + \begin{tikzpicture} + \begin{axis}[grid = both, grid style={line width=.1pt, draw=gray!10}, minor tick num = 1, xstep = 1, ystep = 1, xtick={-6,...,6}, ytick={-6,...,6}, ymin=-6, domain=-6:6, major grid style={line width=.2pt,draw=gray!50},scale only axis, x = 10mm, y = 10mm, ymax=6, samples=\functionSamples, axis lines = middle, xlabel = $x$, ylabel = {$y$}, xmin=-6, xmax=6, legend style={at={(1,1)},anchor=north west}] + \addplot[black, solid] (x, {(-1/2)*x+1}); + \addplot[black, densely dashed] (x, {-2*((-1/2)*x+1)}); + \addlegendentry{\raisebox{7pt}{$f(x) = -\frac{1}{2}x+1$}} + \addlegendentry{$g(x) = -2f\left(x\right)$} + \addplot[red, solid] (x, {-2*x+1}); + \addplot[red, densely dashed] (x, {-2*3*x+1}); + \addlegendentry{$f(x) = -2x+1$} + \addlegendentry{$g(x) = f(3x)$} + \addplot[green, solid] (x, {(1/2)*x-1}); + \addplot[green, densely dashed] (x, {(1/2)*(1/2)*x-1}); + \addlegendentry{\raisebox{7pt}{$f(x) = \frac{1}{2}x-1$}} + \addlegendentry{\raisebox{7pt}{$g(x) = f\left(\frac{1}{2}x\right)$}} + \addplot[blue, solid] (x, {(-1/2)*x-3}); + \addplot[blue, densely dashed] (x, {(1/2)*((-1/2)*x-3)}); + \addlegendentry{\raisebox{7pt}{$f(x) = -\frac{1}{2}x-3$}} + \addlegendentry{\raisebox{7pt}{$g(x) = \frac{1}{2}f(x)$}} + \end{axis} + \end{tikzpicture} + \newpage + \item Nariši grafa funkcij. + \begin{tasks}[label=\textbf{\xslalph*)}](2) + \task $f\left(x\right)=-3x+1$ in $g\left(x\right)=f\left(x-3\right)$ + \task \color{red} $f\left(x\right)=4x+3$ in $g\left(x\right)=f\left(x+1\right)$ \color{black} + \task \color{green} $f\left(x\right)=3x-1$ in $g\left(x\right)=f\left(x-1\right)-3$ \color{black} + \task \color{blue} $f\left(x\right)=-4x-1$ in $g\left(x\right)=f\left(x+2\right)-3$ \color{black} + \end{tasks} + \begin{tikzpicture} + \begin{axis}[grid = both, grid style={line width=.1pt, draw=gray!10}, minor tick num = 1, xstep = 1, ystep = 1, xtick={-6,...,6}, ytick={-6,...,6}, ymin=-6, domain=-6:6, major grid style={line width=.2pt,draw=gray!50},scale only axis, x = 10mm, y = 10mm, ymax=6, samples=\functionSamples, axis lines = middle, xlabel = $x$, ylabel = {$y$}, xmin=-6, xmax=6, legend style={at={(1,1)},anchor=north west}] + \addplot[black, solid] (x, {-3*x+1}); + \addplot[black, densely dashed] (x, {-3*(x-3)+1}); + \addlegendentry{$f(x) = -3x+1$} + \addlegendentry{$g(x) = f(x-3)$} + \addplot[red, solid] (x, {4*x+3}); + \addplot[red, densely dashed] (x, {4*(x+1)+3}); + \addlegendentry{$f(x) = 4x+3$} + \addlegendentry{$g(x) = f(x+1)$} + \addplot[green, solid] (x, {3*x-1}); + \addplot[green, densely dashed] (x, {(3*(x-1)-1)-3}); + \addlegendentry{$f(x) = 3x-1$} + \addlegendentry{$g(x) = f(x-1)-3$} + \addplot[blue, solid] (x, {-4*x-1}); + \addplot[blue, densely dashed] (x, {(-4*(x+2)-1)-3}); + \addlegendentry{$f(x) = -4x-1$} + \addlegendentry{$g(x) = f(x+2)-3$} + \end{axis} + \end{tikzpicture} +\end{enumerate} +\section{Zaključek} +Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in +\hologo{LaTeX}\footnote{Za izdelavo dokumenta potrebujete \texttt{TeXLive 2021} ali \texttt{TeXLive 2020}.} +izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo v mojem šolskem Git repozitoriju na +\url{https://git.sijanec.eu/sijanec/sola-gimb-2} v mapi +\href{https://git.sijanec/sola-gimb-2/src/branch/master/\predmdn/\predmkaj/\stevilkadn/}{/\predmdn/\predmkaj/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/\predmkaj/\stevilkadn/dokument.pdf} in/ali \url{https://git.sijanec.eu/sijanec/sola-gimb-2/raw/branch/master/\predmdn/\predmkaj/\stevilkadn/dokument.pdf}. +\if\razhroscevanje1 +\vfill +\section*{Razhroščevalne informacije} +Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta. + +Grafi imajo natančnost \functionSamples\space točk na graf. + +Konec generiranja dokumenta: \today\ ob \currenttime\footnote{To ne nakazuje dejanskega časa, ko je bil dokument napisan, temveč čas, ko je bi dokument generiran v PDF/DVI obliko. Isto velja za datum v glavi dokumenta. Če berete direktno iz LaTeX datoteke, bo to vedno današnji datum.}%\input|"date -Ins" + +Dokument se je generiral R0qK1KR2 \SI{}{\second}. +\fi +% \item $$$$ aaasecgeninsaaa R0qK1KR2 +\end{document} diff --git a/mat/domace_naloge/31/stderr.log b/mat/domace_naloge/31/stderr.log new file mode 100644 index 0000000..395e034 --- /dev/null +++ b/mat/domace_naloge/31/stderr.log @@ -0,0 +1 @@ +<</Type/XRef/Filter/FlateDecode/ID[<0CF9ED442BBEB5A39D33DA59A88EE15D><0CF9ED442BBEB5A39D33DA59A88EE15D>]/Index[ 0 150]/Info 148 0 R/Length 386/Root 147 0 R/Size 150/W[ 1 3 1]>> diff --git a/mat/domace_naloge/31/stdout.log b/mat/domace_naloge/31/stdout.log new file mode 100644 index 0000000..9a766e1 --- /dev/null +++ b/mat/domace_naloge/31/stdout.log @@ -0,0 +1,808 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020) (preloaded format=pdflatex) + \write18 enabled. +entering extended mode +(/home/a/Documents/sola-gimb-2/mat/domace_naloge/31/dokument.tex +LaTeX2e <2020-10-01> patch level 4 +L3 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